login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A225900 T(n,k)=Number of nXk binary arrays whose sum with another nXk binary array containing no more than a single 1 has rows and columns in lexicographically nondecreasing order 7
2, 4, 4, 7, 12, 7, 11, 33, 33, 11, 16, 78, 145, 78, 16, 22, 162, 545, 545, 162, 22, 29, 304, 1770, 3459, 1770, 304, 29, 37, 527, 5052, 19270, 19270, 5052, 527, 37, 46, 858, 12910, 93428, 193122, 93428, 12910, 858, 46, 56, 1328, 30055, 396804, 1706655, 1706655 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

..2....4.....7......11........16..........22............29..............37

..4...12....33......78.......162.........304...........527.............858

..7...33...145.....545......1770........5052.........12910...........30055

.11...78...545....3459.....19270.......93428........396804.........1495926

.16..162..1770...19270....193122.....1706655......13135919........88428634

.22..304..5052...93428...1706655....28401254.....415506534......5301203235

.29..527.12910..396804..13135919...415506534...11798042714....293929504271

.37..858.30055.1495926..88428634..5301203235..293929504271..14479422646045

.46.1328.64701.5079770.526448417.59290115703.6410647528344.626694049293680

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..199

FORMULA

Empirical: columns k=1..6 are polynomials in n of degree 2^k

EXAMPLE

Some solutions for n=3 k=4

..0..0..1..1....0..1..1..1....0..0..0..0....0..0..0..1....0..0..1..0

..0..1..0..0....1..0..0..0....0..1..1..1....0..1..0..1....0..1..0..1

..1..1..1..1....1..0..1..1....0..1..1..1....0..1..1..0....1..1..0..1

CROSSREFS

Column 1 is A000124

Sequence in context: A223770 A223777 A227089 * A227558 A296651 A297085

Adjacent sequences:  A225897 A225898 A225899 * A225901 A225902 A225903

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin May 20 2013

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 8 08:31 EST 2021. Contains 349594 sequences. (Running on oeis4.)